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Finding the Third Proportional to 130,661 and 195,484

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Solution

The third proportional to 130,661 and 195,484 is: 292,466.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,661 : 195,484 = 195,484 : x
  2. Step 2: Convert to fraction form
    130,661/195,484 = 195,484/x
  3. Step 3: Cross multiply
    130,661x = 195,484 × 195,484
  4. Step 4: Simplify right side
    130,661x = 38,213,994,256
  5. Step 5: Solve for x
    x = 38,213,994,256/130,661
  6. Step 6: Final answer
    x = 292,466.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.